Finding the Third Proportional to 10,071.75 and 21,874.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,071.75 : 21,874.50 = 21,874.50 : x
2. Step 2: Convert to fraction form
   10,071.75/21,874.50 = 21,874.50/x
3. Step 3: Cross multiply
   10,071.75x = 21,874.50 × 21,874.50
4. Step 4: Simplify right side
   10,071.75x = 478,493,750.25
5. Step 5: Solve for x
   x = 478,493,750.25/10,071.75
6. Step 6: Final answer
   x = 47,508.50